Is the sum of 3+ The Square root of 7 a rational number?

Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

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Answer:

The slope or incline is -5

Step-by-step explanation:

rewrite to get the form

y = ...

x - 5y = -10

- 5y = -10 -x

divide left and right if the = sign by -5 gives:

(-5/-5)y = (-1/-5)x + (-10/-5)

y = 1/5x +2

So the incline is 1/5

a perpendicular line has an incline of -1 *5/1 = -5

The slope or incline is -5

Answer:

-√(18)i, √(18)i

Step-by-step explanation:

3x^2+54 = 0

So first, no real solution, but...

x^2+18 = 0

x^2 = -18

==> x = -√(18)i, √(18)i

Answer:

(3,7)

Step-by-step explanation:

First, substitute for y. Simplify.

2x+(x+4)=13

3x+4=13

3x=9

x=3

Input the value for x into either of the equations.

y=3+4

y=7

(3,7)

Hope this helps!

Answer:

6 nickles

2 dimes 2 nickles

1 quarter 1 nickle 5 pennys

Answer:

deleting Internet browsing history.

Step-by-step explanation:

Answer: Deleting internet browsing history!

Answer:

Step-by-step explanation:

a) pencil = x +25

b) bob = x - 6

c) x +2

The responsibility of group leaders in assisting members in the development of their personal goals should be done in a "facilitative" manner.

When group leaders assist members in their personal goal development, being facilitative means they take on a supportive role that empowers individuals to identify and work towards their goals effectively. Rather than imposing their own goals or solutions, facilitative leaders create an environment that encourages open communication, active listening, and collaboration.

Facilitative leaders help members explore their aspirations, clarify their goals, and break them down into actionable steps. They provide guidance, resources, and feedback, while also promoting autonomy and self-directed learning. They create a safe space for individuals to share their goals, seek advice, and engage in discussions with other group members.

By adopting a facilitative approach, group leaders can empower individuals to take ownership of their personal goals, foster a sense of motivation and accountability, and promote personal growth and development within the group dynamic. This approach recognizes that each individual has unique aspirations and needs, and it aims to support their journey towards achieving those goals in a collaborative and empowering manner.

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Compare two similar sides:

24:32 this reduces to 3:4

Answer: D) 3:4

Answer:

\(9\frac{1}{4}\) inches and 23.5 cm

Step-by-step explanation:

A student uses ruler to measure the length of their foot.

Given measurements are,

\(9\frac{1}{4}\) inches

\(9\frac{5}{64}\) inches

23.47659 cm

23.5 cm

23.48 cm

Most appropriate measurement that we can measure by a ruler is up to single decimal place.

Inches can be measured appropriately in quarters or halves also.

Therefore, \(9\frac{1}{4}\) inches and 23.5 cm are the correct options.

Answer:

D. The amount of NO2 and SO2 would increase.

Step-by-step explanation:

This is an exothermic reaction as Heat is among the products. Increasing the temperature would lead to more products in the reaction system. In order for the system to annul this change, more reactants would be formed.

The correct option is;

D. The amount of NO2 and SO2 would increase.

Answer:

First, take -5x then turn -5 to a positive 5 like so and add it to -6. So, -6+5= -1, so then take -1 + 4 which will equal 4 which is y.

Y=4

Solution of the literal equation 4y-5x=-6 for y is y = (5/4)x - (3/2).

A literal equation are equations which have two or more unknown variables in them. A literal equation can be solved by adding or subtracting or multiplying or divide by same numbers on both sides of the equation in order to get an expression for the required variable.

Given an literal equation 4y - 5x = -6

We need to solve this equation  for y , means separate y and make its coefficient 1

4y-5x =-6

Adding 5x both sides ⇒ 4y-5x+5x = -6 +5x

                                    ⇒ 4y = 5x-6

Divide both sides by 4 , we get

⇒4y/4 = (5x-6)/4

⇒ y = (5/4)x - (6/4)

⇒ y = (5/4)x - (3/2)

∴The solution for the variable y from the given literal equation  4y-5x=-6 is  y = (5/4)x - (3/2)

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Answer:

Step-by-step explanation:

Total number of candidates is:

Probability of a girl to be chosen as prefect:

Answer:

Probability = 15/23

Step-by-step explanation:

Now we have to,

→ find probability that prefect is a girl.

The total members are,

→ 15 girls + 8 boys

→ s = 15 + 8

→ [ s = 23 ]

Then the probability will be,

→ P = 15/s

→ [ P = 15/23 ]

Hence, the answer is 15/23.

It is True that if the function f(x) is even, then the aₒ, aₙ are zero.

If the function f(x) is even, then it implies that for all x, f(x) = f(-x).

Properties of Even function f(-x) = f(x) - The graph of an even function is symmetric about the y-axis.

If the function is even, then a₀ will always be the average value of the function.-

The Fourier series of the even function will have only cosine terms, that is the series will be of the form f(x) = a₀/2 + Σ[an cos (nπx/L)] -

The sum of the product of an even function and an odd function is zero over a symmetric interval. -

If the function is even, then the series of Fourier will converge to the function f(x) at all points where f(x) is differentiable. - If the function is even, then all the odd coefficients in the Fourier series expansion will be zero.

The Fourier series expansion of an even function f(x) can be represented as f(x) = a₀/2 + Σ[an cos (nπx/L)]

Here, all the odd coefficients, b n will be zero because f(x) is an even function.

Hence, if the function f(x) is even, then the a₀, aₙ are zero.

An even function can have Fourier series coefficients, but these coefficients should be zero if the function is entirely even.

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Solving a system of equations we can see that each pair of pants costs €82.94 and each coat costs €26.37

Let's define the variables:

x = cost of a pant

y = cost of a coat.

First, we know that:

3x + 2y = 245

And then there are discounts of 20% and 5%, and the cost of one of each is 100.75, then:

0.8x + 0.95y = 100.75

Then we have a system of equations:

3x + 2y = 245

0.8x + 0.95y = 100.75

We can isolate x on the second equation to get:

x = (100.75 - 0.96y)/0.8

x = 125.9 - 1.2y

Replace that in the other equation:

3*(125.9 - 1.2y) + 2y = 245

Solving for y:

3*125.9 - 3*1.2y + 2y = 245

y*(2 - 3*1.2) = 245 - 3*125.9

y = (245 - 3*125.9)/(2 - 3*1.2)

y = 82.94

Then the value of x is:

x = 125.9 - 1.2*82.94

x = 26.37

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a. The probability that the system will operate as shown is approximately 0.6141.

b. Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.

c. The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.

a. To find the probability that the system will operate as shown, we multiply the probabilities of each component. Since the system is shown to have three components with a probability of 0.85 each, we can calculate:

Probability = 0.85 × 0.85 × 0.85

Probability ≈ 0.6141

The probability that the system will operate as shown is approximately 0.6141.

b. In this case, each system component has a backup with a probability of 0.85 and a switch that is 100% reliable. Since the backup has a probability of 0.85, and the switch is 100% reliable (probability = 1), we can calculate the probability as:

Probability = 0.85 × 0.85 × 0.85

Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.

c. In this scenario, each system component has a backup with a probability of 0.85, but the switch is 90% reliable (probability = 0.90). We can calculate the probability as:

Probability = 0.85 × 0.90 × 0.85

Probability ≈ 0.6485

The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.

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Hi!

So your grade depends on how much the 2 scores are weighted.

BUT, if the 42 and 100 have equal weights of 50/50, you will have a 71% C

If the 100 isn't weighted that much, I'd guess it'd be around 75/25, your grade will be a 56% F

Try to get as many high grades or extra credits as possible!

Please mark brainliest and ask more if you need help!

We found that the GCD of the following pairs of integers is:6 for 60 and 90.10 for 220 and 1400.21 for 3273∙11 and 23∙5∙7.

Greatest Common Divisor is also known as GCD. It is defined as the highest number that divides two or more integers completely. Let's solve the given pairs of integers:1. To find the GCD of 60 and 90, first, we have to factorize both numbers into their prime factors.60 = 2² × 3 × 590 = 2 × 3² × 5Now we will select the common factors and multiply them. Here, 2 and 3 are common factors.

GCD(60,90) = 2 × 3 = 6Therefore, the GCD of 60 and 90 is 6.2. To find the GCD of 220 and 1400, first, we have to factorize both numbers into their prime factors.220 = 2² × 5 × 111400 = 2³ × 5² × 7Now we will select the common factors and multiply them. Here, 2 and 5 are common factors.

GCD(220,1400) = 2 × 5 = 10Therefore, the GCD of 220 and 1400 is 10.3. To find the GCD of 3273∙11 and 23∙5∙7, first, we have to factorize both numbers into their prime factors.3273∙11 = 3 × 7 × 13 × 1123∙5∙7 = 3 × 5 × 7 × 23Now we will select the common factors and multiply them.

Here, 3 and 7 are common factors. GCD(3273∙11, 23∙5∙7) = 3 × 7 = 21Therefore, the GCD of 3273∙11 and 23∙5∙7 is 21. Therefore, we found that the GCD of the following pairs of integers is:6 for 60 and 90.10 for 220 and 1400.21 for 3273∙11 and 23∙5∙7.

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Step-by-step explanation:

the solution for this equation would be rs.

Answer:

7/2 or 3 1/2

Step-by-step explanation:

7/8*4/1=28/8

Simplify= 7/2 or as a mixed fraction = 3 1/2

Hope this helps

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The mean and median next 12 months PE ratios of the group are the mean multiple followed by the median multiple, comma-separated with no spaces.

The mean and median next 12 months PE ratios of the group can be found by following these steps:
1. Gather next 12 months PE ratios for each company.
2. Calculate mean by summing the ratios and dividing by total number.
3. Arrange ratios in ascending order.
4. Find the middle value(s) to determine the median.
5. Write the mean multiple followed by the median multiple, comma-separated with no spaces.

Therefore, the mean and median next 12 months PE ratios of the group are the mean multiple followed by the median multiple, comma-separated with no spaces.

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Step-by-step explanation:

Simplify the expression

Answer: 6.5 is the answer.

Step-by-step explanation:

Answer:

the answer is A=(8)(8)/2

Step-by-step explanation:

Answer:

-69/8

Step-by-step explanation:

-2/3y - 3/4 = 5

-2/3y = 23/4

y = -69/8

To write Acos(?0t) + Bsin(?0t) in the form r*sin(?0t - ?), we can use the identities. The relationship among R, r, ? and ? is:
R^2 = r^2 (1 + (A/B)^2), tan? = r/R = B/A

r = sqrt(A^2 + B^2)
tan? = B/A

Therefore, r = sqrt(A^2 + B^2) and tan? = B/A.

To determine the relationship among R, r, ? and ?, we can use the identity:

R^2 = r^2 + (tan?)^2

Therefore, R = sqrt(r^2 + (tan?)^2) and tan? = r/R. Substituting the expression for tan? from earlier, we get:

tan? = B/A = r/R

Solving for R, we get:

R = r/tan? = r/(B/A) = rA/B

And substituting the expression for R in terms of r and tan?, we get:

R = sqrt(r^2 + (r/R)^2) * A/B

Simplifying this expression, we get:

R^2 = r^2 + (A/B)^2 * r^2

R^2 = r^2 (1 + (A/B)^2)

Therefore, the relationship among R, r, ? and ? is:

R^2 = r^2 (1 + (A/B)^2)
tan? = r/R = B/A

To show that Acos(ω₀t) + Bsin(ω₀t) can be written in the form r*sin(ω₀t - θ), we can use trigonometric identities. We know that:

sin(a - b) = sin(a)cos(b) - cos(a)sin(b)

Comparing this to the given expression, we have:

Acos(ω₀t) + Bsin(ω₀t) = r*sin(ω₀t - θ) = r[sin(ω₀t)cos(θ) - cos(ω₀t)sin(θ)]

Now, let's equate the coefficients of sin(ω₀t) and cos(ω₀t):

A = -r*sin(θ)
B = r*cos(θ)

To find r and θ in terms of A and B, we can use the Pythagorean identity:

A² + B² = (-r*sin(θ))² + (r*cos(θ))² = r²(sin²(θ) + cos²(θ)) = r²

Therefore, r = √(A² + B²).

Now, to find θ, we can use the tangent function:

tan(θ) = -A/B

Now, for the second part, if Rcos(ω₀t - θ) = r*sin(ω₀t - θ), we can use the sine-to-cosine transformation:

Rcos(ω₀t - θ) = Rsin(ω₀t - θ + π/2)

This implies that:

R = r
θ + π/2 = θ'

So, the relationship among R, r, θ, and θ' is:

R = r
θ' = θ + π/2

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Answer:

-25

Step-by-step explanation:

(-44)-(-19

(-44)+19

-25

Answer:

Step-by-step explanation:

+62) + (+14) = +76 (-29) + (-13) = -42 ... 19. 75 + (-25) = 21. 73 + 47 = 23. 78 + (-30) = 25. 75 + (-25) = ... Rules for Subtracting Integers

Answer:

d = √389

Step-by-step explanation:

to find c we use 15 and 8 into the formula of "a^2 + b^2 = c^2" which is 17. Now we use 17 and 10 as a and b to find c in the formula which is d.

a^2 + b^2 = c^2

10^2 + 17^2 = x^2

100 + 289 = x^2

389 = x^2

√389 = √x^2

√389 = x